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Finding the Third Proportional to 69,376 and 163,716

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Solution

The third proportional to 69,376 and 163,716 is: 386,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,376 : 163,716 = 163,716 : x
  2. Step 2: Convert to fraction form
    69,376/163,716 = 163,716/x
  3. Step 3: Cross multiply
    69,376x = 163,716 × 163,716
  4. Step 4: Simplify right side
    69,376x = 26,802,928,656
  5. Step 5: Solve for x
    x = 26,802,928,656/69,376
  6. Step 6: Final answer
    x = 386,342.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.